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Finding the Third Proportional to 166,206,424,381 and 337,037,736,663

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Solution

The third proportional to 166,206,424,381 and 337,037,736,663 is: 683,453,942,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,206,424,381 : 337,037,736,663 = 337,037,736,663 : x
  2. Step 2: Convert to fraction form
    166,206,424,381/337,037,736,663 = 337,037,736,663/x
  3. Step 3: Cross multiply
    166,206,424,381x = 337,037,736,663 × 337,037,736,663
  4. Step 4: Simplify right side
    166,206,424,381x = 113,594,435,934,917,727,617,024
  5. Step 5: Solve for x
    x = 113,594,435,934,917,727,617,024/166,206,424,381
  6. Step 6: Final answer
    x = 683,453,942,036.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.